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Nienhuys-Cheng, S. H.

Weak homotopy category of a category with a cotriple. (English) Zbl 0211.32703

Math. Z. 121, 295-304 (1971).
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MSC:

18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18B99 Special categories
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References:

[1] Beck. J. M.: Triples and cohomology. Diss., Columbia University, 1966.
[2] Eilenberg, S., Moore, J. C.: Foundations of relative homological algebra. Mem. Amer. Math. Soc.55 (1965). · Zbl 0129.01101
[3] Freyd, P.: Stable homotopy. Proceedings of the Conference on Categorial Algebra, La Jolla, 1965. · Zbl 0195.52901
[4] Hilton, P.: Homotopy theory and duality. New York: Gordon and Breach 1963. · Zbl 0118.18403
[5] Huber, P. J.: Homotopy theory in general categories. Math. Ann.144, 361-385 (1961). · Zbl 0099.17905 · doi:10.1007/BF01396534
[6] Kan, D. M.: A combinatorial definition of homotopy groups. Ann. of Math.67, 282-312 (1958). · Zbl 0091.36901 · doi:10.2307/1970006
[7] MacLane, S.: Categorial algebra. Bull. Amer. Math. Soc.71, 40-106 (1965). · Zbl 0161.01601 · doi:10.1090/S0002-9904-1965-11234-4
[8] Mitchell, B.: Theory of categories. New York: Academic Press 1965. · Zbl 0136.00604
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